Title: Using Mutual Information of Hypergraph Compressions for Clustering Abstract: Hypergraphs are often used to represent higher order observed relationships between subjects of study. In particular, the vertices of a hypergraph could represent the basic elements of study, and edges represent observed relationships between the vertices. Implicitly, the assumption is that observed edges are more […]
Young diagrams are all possible arrangements of n boxes into rows and columns, with the number of boxes in each subsequent row weakly decreasing. For a partition λ of n, a standard Young tableau S of shape λ is built from the Young diagram of shape λ by filling it with the numbers 1 to […]
Speaker: Jack Wesley, Department of Mathematics, UC Davis
Let x_1,...,x_n be an overdetermined spanning set for the Euclidean space R^k, where n > k. Let L be the integer span of these vectors. Then L is an additive subgroup of R^n. When is it discrete in R^n? Naturally, this depends on the choice of the spanning set, but in which way? We will […]
Let L be a full-rank lattice in R^n and write L+ for the semigroup of all vectors with nonnegative coordinates in L. We call a basis X for L positive if it is contained in L+. There are infinitely many such bases, and each of them spans a conical semigroup S(X) consisting of all nonnegative […]
Title: No-arbitrage Pricing in a Market for Position on a Multilane Freeway Speaker: Henry Schellhorn, Department of Mathematics, Claremont Graduate University Abstract: We introduce a trading mechanism allowing cars to […]
Many knot invariants are defined from features of knot projections such as arcs or crossings. Gauss diagrams provide an alternative combinatorial scheme for representing knots. In this talk we will […]
Title: Building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City Speaker: Joan Ponce, Department of Mathematics, Arizona State University Abstract: Epidemiological models can provide the […]
There are two different measures of how far a given Euclidean lattice is from being orthogonal -- the orthogonality defect and the average coherence. The first of these comes from […]
Title: The mathematics of neural networks: recent advances, thoughts, and the path forward Speaker: Prof. Mikhail Belkin, Department of Mathematics, University of California San Diego Abstract: The recent remarkable practical […]
